What is a random variable in the context of probability distribution?

Discrete Random Variables and Probability

Interactive Video
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Mathematics
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9th - 10th Grade
•
Hard

Thomas White
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8 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A variable that is always positive
A variable that is always constant
A variable that represents a numerical outcome of a probability experiment
A variable that can only take integer values
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is true about discrete random variables?
They are always continuous
They cannot be plotted on a number line
They have a finite or countable number of possible values
They can take any value within an interval
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a key characteristic of a continuous random variable?
It can take any value within an interval
It is always finite
It can be counted
It can be plotted as points on a number line
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which condition must a discrete probability distribution satisfy?
All probabilities must be greater than 1
The sum of all probabilities must equal 1
All probabilities must be negative
The sum of all probabilities must be less than 1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in constructing a discrete probability distribution?
Calculate the mean
List all possible outcomes
Find the variance
Draw a histogram
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you calculate the mean of a discrete random variable?
By dividing the sum of values by the number of values
By finding the square root of the variance
By multiplying each value by its probability and summing the results
By adding all the possible values
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the expected value of a discrete random variable represent?
The minimum possible value
The maximum possible value
The average outcome of the random variable
The most frequent value
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the raffle example, what is the expected value of your gain?
You are expected to gain $1.35
You are expected to lose $1.35
You are expected to break even
You are expected to gain $2.00
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